9514 1404 393
Answer:
149.04°
Step-by-step explanation:
You must consider the signs of the components of the vector. The value -5+3i will be in the 2nd quadrant of the complex plane.
When you use the single-argument arctan function, it will tell you the angle is -30.96°, a 4th-quadrant angle. (arctan( ) is only capable of giving you 1st- or 4th-quadrant angles.)
You find the 2nd-quadrant angle by adding 180° to this value:
-30.96° +180° = 149.04° = arg(-5+3i)
__
The attachments show the calculation using a suitable calculator (1st) and a spreadsheet (2nd). The spreadsheet function ATAN2(x,y) gives the 4-quadrant angle in radians, considering the signs of the two arguments. Here, we converted it to degrees. The calculator can be set to either degrees or radians.
iv) a) 4x 10² solve it in decimal
40.0*10 is the answer
actually it is 400 but u want in decimal so it is 40.0*10
Answer:
40.0*10
Step-by-step explanation:
have a good day!
Annie the Ant started at the left end of a pole and crawled ⅔ of its length. Bolu the Beetle started at the right end of the same pole and crawled ¾ of its length. What fraction of the length of the pole is between Annie and Bolu?
Answer:
1/12
Step-by-step explanation:
First, 2/3 is less than 3/4
So, you have to subtract 2/3 from 3/4
2/3-3/4
To do the equation above, make the denominator common in both
2/3 × 4/4 = 8/12
3/4 × 3/3 = 9/12
Now you are able to subtract
9/12 - 8/12 = 1/12
_________________________
2/3 3/4
8/12 9/12
The solution is, 1/12 is the fraction of the length of the pole is between Annie and Bolu.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
First, 2/3 is less than 3/4
So, you have to subtract 2/3 from 3/4
2/3-3/4
To do the equation above, make the denominator common in both
2/3 × 4/4 = 8/12
3/4 × 3/3 = 9/12
Now you are able to subtract
9/12 - 8/12 = 1/12
_________________________
2/3 3/4
8/12 9/12
Hence, The solution is, 1/12 is the fraction of the length of the pole is between Annie and Bolu.
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Please help ASAP please I’ll mark as brainlister
Problems
The bottom of the red figure should be long; similar to the top of the blue figure.
The top of the red figure should be the same as the bottom of the blue figure.
Red are: (1, -1), (4, -1), (1, -5), (3, -5), (2, -2), (2, -4), (3, -4), (4, -2), (4, -2)
red points should be:
(1, -1), (3, -1), (1, -5), (4, -5), (2, -2), (2, -4), (4, -4), (3, -2), (3, -2),
Can someone please help me ASAP? It’s due today. I will give brainliest if it’s correct
Answerthe first one
Step-by-step explanation:
350 is 6x50
there is 6x17 milk chocolate
42 milk chocolates b c d are wrong
The approximate length of side XY is a: 3b: 3.16c: 4d: 4.24 units.
Solution
Given a triangle XYZ on the graph
The coordinates of points X, Y and Z are
\(\begin{gathered} X\Rightarrow(-3,-1) \\ Y\Rightarrow(-2,-4) \\ Z\Rightarrow(-6,-4) \end{gathered}\)To find the approximate length of the sides, we apply the formula to find the distance, d, between two points which is
\(d=\sqrt{(x_2-x_2)^2+(y_2-y_1)^2}\)To find the approximate length of side XY, substitute the coordinates of points X and Y into the formula to find the distance, d, between two points
\(\begin{gathered} XY=\sqrt{(-3-(-2))^2+(-4-(-1))^2} \\ XY=\sqrt{(-1)^2+(-3)^2} \\ XY=\sqrt{1+9}=\sqrt{10}=3.16\text{ units} \\ XY=3.16\text{ units} \end{gathered}\)Hence, the approximate length of side XY is 3.16 units (option b)
Given that B is the midpoint of the arc AC, find
(i) the length of BD,
(ii) the perimeter of the shaded region
(iii) the area of the shaded region.
Ans:
8.49
21.4
20.5
i. Line BD = 6√2 cm
ii. Perimeter = 3 (π + 4) cm
iii. Area = 18 ( π - 2) cm
How to determine the parametersLet the length of BD = x
Since B is the midpoint of the arc AC, then ∠BOC = 15°
In ΔBDB
Let's use the trigonometric ration, tan
\(Tan 45 = \frac{BD}{CD}\)
CD = x
Then, using the Pythagorean theorem
\(x^2 + x^2 = 12^2\)
\(2x^2 = 144\)
\(x^2 = \frac{144}{2}\)
\(x = \sqrt{72}\)
\(x = \sqrt{36 *2}\)
\(x = 6\sqrt{2}\)
Thus, line BD is \(6\sqrt{2}\) cm
ii. Perimeter = BC + BD + CD
= 2πr/8 + x + r - x
= π(12)/4 + r
= 3π + 12
= 3 ( π + 4) cm
iii. Area of shaded area = Area of BOC + Area of BOD
⇒ πr^2/8 × 1/2x^2
= π144/8 × 1/2(72)
= 18π - 36
= 18 ( π - 2) cm²
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
\( \bf \implies \frac{ - 1}{2} \)
Step-by-step explanation:\( \bf \longrightarrow({ - 2}^{3})( {3}^{0})({4}^{ - 2} )\)
\( \bf \longrightarrow( - 8)(1)( \frac{1}{16}) \)
\( \bf \longrightarrow( - 8)( \frac{1}{16})\)
\( \bf \longrightarrow \frac{ \cancel{- 8}}{ \cancel{16}} \frac{ \cancel{ - 4}}{ \cancel{8}} \frac{ \cancel{ - 2}}{ \cancel{4}} \frac{ - 1}{2} \)
\( \bf \longrightarrow \frac{ - 1}{2} \)
Please help me out- I cannot do math correctly-
Answer:
mark a dot on (0,3) and another dot on (-4, 0) then put a line through them
3 is the y-intercept so you put a mark on 3 then you go down 3 and left 4 which is (-3/-4) a negative and a negative gives you a positive
PLEASE HELPPPPPPPPPPPPP
Answer:
sure.. 16pi
Step-by-step explanation:
use the equation
\(a = \pi \: {r}^{2} \)
\(radius = diameter \div 2\)
r = 8÷2 = 4 ft
\(a = \pi \times {4 }^{2} \)
\(a = 16 \: \pi\)
if it takes 50 cubes to fill up a rectangular prism, what would be the volume of the rectangular prism?
PLEASE HELP !
Answer:
50 unit^3
Step-by-step explanation:
you didnt give a unit, and i assumed the cubes are equal to one cubic of that unit, so cant really help
Answer:
volume of 50 cube= volume of rectangular prism
Step-by-step explanation:
What is the solution to the proportion? Round the answer to the nearest tenth if necessary. 52/x = 9.5/3.25
Answer:
17.8
Step-by-step explanation:
9.5x = 3.25(52)
9.5x = 169
x = 169/9.5
x = 17.8
your friend is choosing between two music download companies. MyTunes charges $2.50 per song. Great Songs charges $1.50 per song and has a one-time membership fee of $50. When will Great Songs be the better deal?
Answer:
After 100 songs
Step-by-step explanation:
2.50x=1.50x+50
.50x=50
÷.50
X=100
Great Songs will be the better deal after 100 songs.
What are mathematical operations?Mathematical operations can also be defined by using built-in functions to subtract, divide, and multiply. The arithmetic operator is the one who conducts the arithmetic operation.
* Multiplication procedure: Values on both sides of the operator are multiplied.
For instance, 7×2 = 14
/ Division: Divides the left operand by the right operand
For instance, 4/2 = 2
MyTunes imposes a fee of $2.50 per song. Great Songs charges $1.50 for each song and includes a $50 one-time membership fee, as stated in the question.
Let the songs that come after Great Songs would be x, the better the deal.
⇒ 2.50x = 1.50x + 50
⇒ 0.50x = 50
Divided by 0.50 into both sides of the equation,
⇒ x = 100
Therefore, Great Songs will be the better deal after 100 songs.
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PPPPPPPPPPPPPPLLLLLLLLLLLLEAAAAAAAAAAAASSSSSSSSSSSSSSSEEEEEEEE
help me!
Answer:
(4,0)
Step-by-step explanation:
Both lines intersect, or cross, at one point on the graph, which is (4,0). Therefore, that point is a solution to the system of equations.
Hope this helps!
1. In the figure shown below, all angles are right angles,
and the side lengths given are in inches. What is the
area, in square inches, of the figure?
7
30
62
SKOG
2
120
Answer:iuygafsg78t arsy9u E)AFI_0=W]O-W[IOUPDIOYfguvydagai8sw09dQI
Step-by-step explanation:
the distance y (in feet) that a coconut falls after t seconds is given by the function y=16t^2. use a graph to determine how many seconds it takes for the coconut to fall 64 feet
it takes 2 seconds for the coconut to fall 64 feet.
To determine how many seconds it takes for the coconut to fall 64 feet, we can set up the equation y = \(16t^2\) and solve for t when y = 64.
The equation can be rewritten as:
\(16t^2 = 64\)
Dividing both sides by 16:
\(t^2 = 4\)
Taking the square root of both sides:
t = ±2
Since time cannot be negative in this context, we take the positive value:
t = 2
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For a recent paint job, Josh mixed red and white paint to make two different shades of pink. When the job was done, Josh ended up with leftover paint: 5 gallons of dark pink paint (80% red) and 4 gallons of light pink paint (30% red). Josh wants to make a medium pink color (50% red) to paint his daughter's bedroom. He will need 3 gallons to completely cover the walls. How much of each of the leftover paints should Josh mix to achieve his desired color?
? gallons of dark pink paint
? gallons of light pink paint
Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.
Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.
The total amount of paint needed is 3 gallons, so we have the equation:
x + y = 3
The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:
(80/100)x + (30/100)y = (50/100)(x + y)
Simplifying this equation, we get:
0.8x + 0.3y = 0.5(x + y)
Now, we can solve this system of equations to find the values of x and y.
Let's multiply both sides of the first equation by 0.3 to eliminate decimals:
0.3x + 0.3y = 0.3(3)
0.3x + 0.3y = 0.9
Now we can subtract the second equation from this equation:
(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)
-0.5x = 0.9 - 0.5x - 0.5y
Simplifying further, we have:
-0.5x = 0.9 - 0.5x - 0.5y
Now, rearrange the equation to isolate y:
0.5x - 0.5y = 0.9 - 0.5x
Next, divide through by -0.5:
x - y = -1.8 + x
Canceling out the x terms, we get:
-y = -1.8
Finally, solve for y:
y = 1.8
Substitute this value of y back into the first equation to solve for x:
x + 1.8 = 3
x = 3 - 1.8
x = 1.2
Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
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which of the following statements is true about a rational function of the form where g and h are polynomial functions?
The true statement about the function is that (c) the domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.
How to determine the true statement of the function f(x)?The complete question is added at the end of this solution
From the complete question, we have the following equation
f(x) = g(x)/h(x)
The above equation means that
The function f(x) is the quotient of the functions g(x) and h(x)
For the function f(x) to have real values, the function h(x) must not equal 0
i.e. h(x) ≠ 0
This is so because
A number or an expression divided by 0 is not a real number
Hence, the true statement is that the domain of f(x) consists of all values of x where h(x) does not equal 0.
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Complete question
which of the following statements is true about a rational function of the form where g and h are polynomial functions?
A. If the rational function has a removable discontinuity, then it cannot have a vertical asymptote. g(x)
B. The rational function f(x) h(x) will have a removable discontinuity at x = a if g(a) = 0. g(x)
C. The domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.
D. If the rational function has a removable discontinuity, then it cannot have a horizontal asymptote.
Ivy purchases 8 books at the used book store. Paperback books cost $4 each, and hardback books cost $8 each. If x represents the number of paperbacks purchased, which three statements are true when determining the number of each type of book purchased?.
From the given cost of paperback and hardback books in the question, only option (A) and (B) are correct
Total numbers of books purchased by Ivy is 8
Cost of each paperbacks books = $4
Cost of each hardback books = $8
Let X represents the number of paperback books purchased.
Then (8 - X ) represents the number of hardback books purchased
Therefore, according to the question
Total cost of purchasing the paperbacks will be 4X
Total cost of purchasing the hardback books will be 8(8 - X)
And, 4X + 8(8 - X ) will be the total cost for purchasing the 8 books by Ivy
Since the total amount spent on purchasing is not given, we can’t calculate the exact cost for buying hardback books and paperback books.
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Complete question:
Ivy purchases 8 books at the used book store. Paperback books cost $4 each, and hardback books cost $8 each. If x represents the number of paperbacks purchased, which three statements are true when determining the number of
each type of book purchased?
A)
4x represents the total cost of the paperbacks purchased.
B)
8(8 + x) represents the total cost of the hardbacks purchased.
C)
4x + 8(8 - x) = 44 can be used to solve the problem.
D)
Ivy spent $25 dollars on paperbacks.
E)
Ivy bought 3 hardback books.
Choose the correct simplification of the expression (c4)3. a. c-1 b. c7 c. c12 d. c64
The correct simplification of the expression is c12 (option c).
The expression (c^4)^3 can be simplified using the exponent rules for powers of a power, which states that when a power is raised to another power, we can multiply the exponents.
Thus, we have:
(c^4)^3 = c^(43) [Using the rule (a^m)^n = a^(mn)]
Simplifying the exponent 4*3, we get:
c^(4*3) = c^12
Therefore, the correct simplification of the expression is c^12.
Option (c) is the correct answer as it correctly represents the simplified form of the given expression. Option (a) c^-1, option (b) c^7, and option (d) c^64 are not correct because they do not follow the exponent rules used to simplify the expression.
In summary, the expression (c^4)^3 simplifies to c^12, which is option (c) in the given options.
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Carlos plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
Answer:
Step-by-step explanation:
An=3*n
Answer:
n=3m
Step-by-step explanation:
n represent the number of movies he will watch
m shows the amoutn of month
Consider the solid obtained by rotating the region bounded by the given curves about the x axis. y=15x2,y=65−x2 Find the volume V of the solid.
The volume V of the solid is \(\left(0,\:\sqrt{\frac{65}{16}}\right)V+C\)
To find the volume of the solid obtained by rotating the region bounded by the curves y = 15x^2 and y = 65 - x^2 about the x-axis, we can use the method of cylindrical shells.
First, let's find the points of intersection between the two curves. Setting them equal to each other, we have:
15x^2 = 65 - x^2
Combining like terms, we get:
16x^2 = 65
Simplifying further, we find:
x^2 = 65/16
Taking the square root of both sides, we get:
x = ±√(65/16)
Since we are rotating about the x-axis, we only need to consider the positive square root, which is approximately 1.539.
Next, we need to find the height of each cylindrical shell. The height can be calculated as the difference between the two curves at a given x-value. So, the height h is:
h = (65 - x^2) - 15x^2
= 65 - 16x^2
Now, we can set up the integral to find the volume V:
V = ∫[a,b] 2πrh dx
where a is 0 (the starting point) and b is the positive square root of 65/16 (the ending point).
V = ∫[0,√(65/16)] 2π(65 - 16x^2) dx
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What is the range of the data set? 32, 21, 88, 64, 88, 107, 101 enter your answer in the box.
Please help me in these 2 questions ASAP! Thanks a lot!
Answer:
see explanation
Step-by-step explanation:
12
The explicit formula for a geometric sequence is
\(a_{n}\) = a₁ \((r)^{n-1}\)
where a₁ is the first term and r the common ratio
Here a₁ = - 1 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-5}{-1}\) = 5 , then
\(a_{n}\) = - \(5^{n-1}\)
13
Using the explicit formula for a geometric sequence
\(a_{n}\) = a₁ \((r)^{n-1}\)
where a₁ is the first term and r the common ratio
Here a₁ = - 48 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{96}{-48}\) = - 2 , then
a₁₀ = - 48 × \((-2)^{9}\) = - 48 × - 512 = 24576
Find area AND perimeter of the shape
Step-by-step explanation:
for the perimeter...
18-6=12
that's to get the slant side
perimeter=10+6+12+12+20
=60
for the area I'm not sure how to solve it sorry!!
Answer:
10 x 6 = 60
20 + 10 = 30, 30 x 12 x 1/2 = 180
180 + 60 = 240 cm2 is your area
6 + 6 = 12, 12 + 10 = 22, 22 + 20 = 42
Now lets find hypotenuse:
10 - 20 = 10, 10 divided by 2 = 5
5^2 + 12^2
25 + 144 = 169
Square root of 169 is 13
Add perimeters:
42 + 13 = 55 cm is your perimeter.
Given the triangle 29 A х find the length of > 33° 20° side x using the Law of Sines. Round your final answer to 4 decimal places. X =
The length of side x is approximately 11.6622.
To find the length of side x in the triangle, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant. In this case, we have the following information:
Side opposite angle 33°: 29
Side opposite angle 20°: x
Using the Law of Sines, we can set up the following proportion:
x / sin(20°) = 29 / sin(33°)
To find the length of x, we can rearrange the equation:
x = (29 * sin(20°)) / sin(33°)
Let's calculate the value of x using this formula:
x = (29 * sin(20°)) / sin(33°)
x ≈ 11.6622
Rounding the answer to 4 decimal places, the length of side x is approximately 11.6622.
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[b] A right circular cylinder whose volume is 704 cm and its diameter length is 8 cmn.
» then find its height
HELP ASAP!!
Answer:
volume of cylinder=704 cm³
πr² h=704
22/7 ×(8/2)²h=704
50.28h=704
h=704/50.28=14.001=14cm
a circular garden has a diamter of 12 yards. what is the area of the garden
Answer:
≈113.09734
Step-by-step explanation:
A=πr2=π·62≈113.09734
with an estimated u.s. population of 325 million people, if per capita energy consumption is approxi-mately 3.5 >< 108 btu, how much energy does the entire population consume? (a) 1.14 x 108 btu (b) 1.14 x 1014 btu (c) 1.14 x 1015 btu (d) 1.14 x 1016 btu (e) 1.14 x 1017 btu
If per capita energy consumption is approximately 3.5 × 108 BTU for US population of 325 million people , the energy the entire population consume is 1.14 × 1016 BTU. The correct answer is (d).
The United States has a population of approximately 325 million people. To estimate the total energy consumption for the entire population, we need to multiply the per capita energy consumption by the total number of people.
The per capita energy consumption is given as 3.5 × 108 BTU, which means that on average, each person in the US consumes 3.5 × 108 BTU of energy. By multiplying this value by the total population, we can estimate the total energy consumption for the entire population.
The calculation can be done by multiplying the per capita energy consumption by the population:
Per capita energy consumption (E): 3.5 × 108 BTU
Population (P): 325 million
Total energy consumption (T) = E × P
To calculate T, we need to multiply E and P:
3.5 × 108 BTU × 325 million = 1.14 × 1016 BTU
The total energy consumption for the entire population is 1.14 × 1016 BTU
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Which point has coordinates ( 1, 4)?
Please help asap !! I will give 20 points
Answer:
T
Step-by-step explanation:
First move to 1 then go up 4 ez claps bois
The length of jade's garden is 4w
Answer:
and? What about Jade's garden?
Step-by-step explanation:
Answer:
There is no problem to go with this statement, please use full questions.
Step-by-step explanation: